A rocket moves straight upward, starting from rest with an acceleration of +29.6 m/s2. It runs out of fuel at the end of 5.37 s and continues to coast upward, reaching a maximum height before falling back to Earth. (a) Find the rocket's velocity and position at the end of 5.37 s. vb = m/s yb = m (b) Find the maximum height the rocket reaches. m (c) Find the velocity the instant before the rocket crashes on the ground. m/s
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
A rocket moves straight upward, starting from rest with an acceleration of +29.6 m/s2. It runs out of fuel at the end of 5.37 s and continues to coast upward, reaching a maximum height before falling back to Earth.
| vb = | m/s |
| yb = | m |
(b) Find the maximum height the rocket reaches.
m
(c) Find the velocity the instant before the rocket crashes on the ground.
m/s
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